✦ LIBER ✦

The matrix nearness problem for symmetric matrices associated with the matrix equation [ATXA, BTXB] = [C, D]

✍ Scribed by An-ping Liao; Yuan Lei; Shi-fang Yuan

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 203 KB
Volume: 418
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2006.03.032

No coin nor oath required. For personal study only.

✦ Synopsis

A direct method, based on the projection theorem in inner products spaces, the generalized singular value decomposition and the canonical correlation decomposition, is presented for finding the optimal approximate solution X in the set S E to a given matrix X, where S E denotes the least-squares symmetric solution set of the matrix equation

The analytical expression of the optimal approximate solution X is obtained, and an algorithm for finding this solution is also suggested.

📜 SIMILAR VOLUMES

The symmetric nonnegative inverse eigenv

The symmetric nonnegative inverse eigenvalue problem for 5 × 5 matrices

✍ R. Loewy; J.J. McDonald 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 293 KB

Nonlinearization of the 3 × 3

Nonlinearization of the 3 × 3 Matrix Eigenvalue Problem Related to Coupled Nonlinear Schrödinger Equations

✍ X.G Geng; H.H Dai 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 157 KB

The matrix nearness problem for symmetric matrices associated with the matrix equation [ATXA,&#xa0;BTXB]&#xa0;=&#xa0;[C,&#xa0;D]

✦ Synopsis

The matrix nearness problem for symmetric matrices associated with the matrix equation [ATXA, BTXB] = [C, D]